Details

Time bar (total: 2.8s)

sample28.0ms

Algorithm
intervals
Results
17.0ms329×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1373
2673
3793
4793

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.0b

localize8.0ms

Local error

Found 1 expressions with local error:

7.8b
(/ (* a1 a2) (* b1 b2))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
cbrt-undiv div-exp prod-exp cbrt-unprod
pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
4.0ms
(/ (* a1 a2) (* b1 b2))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(/ (* a1 a2) (* b1 b2))

simplify28.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0162132
193897
2500197

prune43.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

3.7b
(/ (* a1 a2) b1)
4.8b
(/ (/ (* a1 a2) b1) b2)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
associate-/l*
cbrt-undiv div-exp
associate-/r* div-inv
pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
associate-/l/
Counts
2 → 73
Calls
2 calls:
3.0ms
(/ (* a1 a2) b1)
5.0ms
(/ (/ (* a1 a2) b1) b2)

series48.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(/ (* a1 a2) b1)
27.0ms
(/ (/ (* a1 a2) b1) b2)

simplify37.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0305406
11333361
25002361

prune157.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

4.9b
(/ a1 (/ (* b1 b2) a2))
5.1b
(/ (* b1 b2) a2)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
10×associate-/r*
cbrt-undiv div-exp
div-inv
associate-/l*
pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
associate-/r/
Counts
2 → 73
Calls
2 calls:
5.0ms
(/ a1 (/ (* b1 b2) a2))
3.0ms
(/ (* b1 b2) a2)

series52.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ a1 (/ (* b1 b2) a2))
19.0ms
(/ (* b1 b2) a2)

simplify37.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0296411
11413367
25001364

prune163.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt b2)
2.4b
(/ (/ (* a1 a2) b1) (cbrt b2))
2.6b
(* (/ 1 (* (cbrt b2) (cbrt b2))) (/ (/ (* a1 a2) b1) (cbrt b2)))
3.7b
(/ (* a1 a2) b1)

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
136×add-exp-log
87×add-sqr-sqrt
69×*-un-lft-identity
66×add-cube-cbrt
58×div-exp
52×add-cbrt-cube
51×cbrt-prod
49×prod-exp
46×associate-*r*
30×cbrt-undiv
21×cbrt-unprod
17×div-inv
associate-/r* unswap-sqr
rec-exp 1-exp associate-/l*
associate-*l*
pow1
expm1-log1p-u log1p-expm1-u add-log-exp
frac-2neg clear-num
frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 226
Calls
4 calls:
0.0ms
(cbrt b2)
6.0ms
(/ (/ (* a1 a2) b1) (cbrt b2))
46.0ms
(* (/ 1 (* (cbrt b2) (cbrt b2))) (/ (/ (* a1 a2) b1) (cbrt b2)))
3.0ms
(/ (* a1 a2) b1)

series361.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt b2)
109.0ms
(/ (/ (* a1 a2) b1) (cbrt b2))
58.0ms
(* (/ 1 (* (cbrt b2) (cbrt b2))) (/ (/ (* a1 a2) b1) (cbrt b2)))
19.0ms
(/ (* a1 a2) b1)

simplify43.0ms

Algorithm
egg-herbie
Counts
238 → 238
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
09972150
150011758

prune589.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes296.0ms

Accuracy

48.5% (5.6b remaining)

Error of 5.6b against oracle of 0.0b and baseline of 10.8b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03119
13419
23719
33719

end0.0ms

sample752.0ms

Algorithm
intervals
Results
498.0ms9944×body80valid